Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
92700c |
Isogeny class |
Conductor |
92700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1336428460800 = -1 · 28 · 39 · 52 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3240,90180] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-206:1] [24:162:1] |
Generators of the group modulo torsion |
j |
-29859840/10609 |
j-invariant |
L |
10.398171731533 |
L(r)(E,1)/r! |
Ω |
0.80757163412707 |
Real period |
R |
1.0729875523172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92700d1 92700e1 |
Quadratic twists by: -3 5 |